Section 2.3
1) This example will help you do exercises 1-4 on p. 81-2.
The relationship between the Celsius and Fahrenheit temperature scales is known to be linear.
The boiling point of water is 212˚F or 100˚C. The freezing point of water is 32˚F or 0˚C.
a) Find an equation giving the Celsius temperature in terms of the Fahrenheit temperature.
b) Convert 90˚F to Celsius.
c) Convert 15˚C to Fahrenheit.
2) This example will help you do exercises 27-34 on p. 83-4.
The profit (in millions of dollars) from the sale of x million units of LiquiMints is given by
p = .6x - 19.7. The cost is given by c = .8x + 13.9.
a) Find the revenue equation.
b) What is the revenue from selling 5 million units?
c) What is the break-even point?
3) This example will help you do exercises 45-46 on p. 85.
Let the supply and demand for a certain commodity be given by:
supply : qp 4
5
=
and demand: qp 4
3
20 −=
where p is in dollars.
a) Find the price for a demand of 8 units.
b) Find the demand for the commodity at a price of $11.
c) Find the supply when the price is $15.
d) Graph both equations on the same axes.
e) Find the equilibrium demand.
f) Find the equilibrium price.
Section 2.5
1) This example will help you do exercises 57-62 on p. 102.
The cost to produce x kumquats is C = 60x + 450, while the revenue is R = 90x. Find all values
of x so that the grower will at least break even.